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13215132 = 223272292
BaseRepresentation
bin110010011010…
…010110011100
3220212101202100
4302122112130
511340341012
61151125100
7220220040
oct62322634
926771670
1013215132
1175067a7
124513790
132979108
141a80020
1512608dc
hexc9a59c

13215132 has 54 divisors (see below), whose sum is σ = 38344488. Its totient is φ = 3759264.

The previous prime is 13215121. The next prime is 13215151. The reversal of 13215132 is 23151231.

13215132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57594 + ... + 57822.

Almost surely, 213215132 is an apocalyptic number.

13215132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13215132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19172244).

13215132 is an abundant number, since it is smaller than the sum of its proper divisors (25129356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13215132 is a wasteful number, since it uses less digits than its factorization.

13215132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 241 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13215132 is about 3635.2623014027. The cubic root of 13215132 is about 236.4234235167.

Adding to 13215132 its reverse (23151231), we get a palindrome (36366363).

The spelling of 13215132 in words is "thirteen million, two hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 458 687 916 1374 1603 2061 2748 3206 4122 4809 6412 8244 9618 14427 19236 28854 52441 57708 104882 157323 209764 314646 367087 471969 629292 734174 943938 1101261 1468348 1887876 2202522 3303783 4405044 6607566 13215132